An efficient hybrid conjugate gradient-based projection method for convex constrained nonlinear monotone equations

Abstract

Conjugate gradient projection methods are widely used for solving large-scale nonlinear systems of monotone equations because of their low memory requirements and research continues to be done to improve these methods. In this paper, we introduce a new hybrid conjugate gradient projection method for solving large-scale nonlinear monotone equations. This proposed method is shown to satisfy the descent property and its global convergence is also established. Numerical results show that the new method is very much promising when compared with other conjugate gradient projection methods.

Subject Classification:

• 90C06
• 90C30
• 65K05
• 65K10

Keywords:

• Nonlinear monotone equations
• Conjugate gradient-based projection method
• Descent condition
• Global convergence